Final answer:
The equation representing the cost of a taxicab service is y = 1.25x + 7, where x is the independent variable (miles driven) and y is the dependent variable (total cost). A table lists the total cost from 4 to 10 miles.
Step-by-step explanation:
To show the relationship between the total cost and the number of miles driven in a taxicab service, we need to establish a linear equation. The independent variable is the number of miles driven, as it can be chosen freely. The dependent variable is the total cost, as it depends on the number of miles driven.
The equation to model this relationship is:
y = 1.25x + 7
Where y represents the total cost and x represents the number of miles driven. The slope of this equation is 1.25, indicating the cost per mile, and the y-intercept is 7, indicating the flat fee.
Here's the requested table of costs from 4 to 10 miles:
Miles Driven (x)Total Cost (y)
4$12
5$13.25
6$14.50
7$15.75
8$17
9$18.25
10$19.50